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18070976 = 2671119193
BaseRepresentation
bin100010011101…
…1110111000000
31021000002201102
41010323313000
514111232401
61443153532
7306413030
oct104736700
937002642
1018070976
11a222aa0
1260758a8
1339893b1
1425858c0
1518be56b
hex113bdc0

18070976 has 112 divisors (see below), whose sum is σ = 47304960. Its totient is φ = 6635520.

The previous prime is 18070967. The next prime is 18070979. The reversal of 18070976 is 67907081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18070979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93536 + ... + 93728.

Almost surely, 218070976 is an apocalyptic number.

18070976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23652480).

18070976 is an abundant number, since it is smaller than the sum of its proper divisors (29233984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18070976 is a wasteful number, since it uses less digits than its factorization.

18070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 18070976 is about 4250.9970595144. The cubic root of 18070976 is about 262.4181501425.

The spelling of 18070976 in words is "eighteen million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 193 209 224 266 304 308 352 386 418 448 532 608 616 704 772 836 1064 1216 1232 1351 1463 1544 1672 2123 2128 2464 2702 2926 3088 3344 3667 4246 4256 4928 5404 5852 6176 6688 7334 8492 8512 10808 11704 12352 13376 14668 14861 16984 21616 23408 25669 29336 29722 33968 40337 43232 46816 51338 58672 59444 67936 80674 86464 93632 102676 117344 118888 135872 161348 205352 234688 237776 282359 322696 410704 475552 564718 645392 821408 951104 1129436 1290784 1642816 2258872 2581568 4517744 9035488 18070976